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d/dx [c]
0 (where c is a constant)
d/dx [x]
1
d/dx [x^n]
n * x^(n-1) (where n is a real number)
d/dx [e^x]
e^x
d/dx [u v]
u (dv/dx) + v * (du/dx) (where u and v are functions of x)
d/dx [u / v]
(v (du/dx) - u (dv/dx)) / (v^2) (where u and v are functions of x)
d/dx [sin(x)]
cos(x)
d/dx [cos(x)]
-sin(x)
d/dx [sec(x)]
sec(x) * tan(x)
d/dx [csc(x)]
-csc(x) * cot(x)
d/dx [tan(x)]
sec^2(x)
d/dx [cot(x)]
-csc^2(x)